Results 31 to 40 of about 2,551 (283)

On Douglas Warped Product Metrics

open access: yesResults in Mathematics, 2022
Corrections on Theorem 2 and ...
openaire   +2 more sources

Multiply warped products with compact Einstein manifolds [PDF]

open access: yes, 2021
We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein  multiply warped products if the scalar curvature is non-positive.
Karaca, Fatma
core  

Conformal Metrics to a Product or Doubly Warped Product on S2×S2 and the Hopf Conjecture

open access: yesJournal of Mathematics, 2022
Hopf’s well-known conjecture states that there exists no metric of positive sectional curvature in the product manifold S2×S2. In this paper, we show that the Hopf conjecture is true for conformal metrics to the product metric or doubly warped products ...
Thierno Seck, Athoumane Niang
doaj   +1 more source

Generalized Sasakian space forms with semi-symmetric non-metric connections; pp. 251–257 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
We introduce generalized Sasakian space forms with semi-symmetric non-metric connections. We show the existence of a generalized Sasakian space form with a semi-symmetric non-metric connection and give some examples by warped products endowed with semi ...
Sibel Sular, Cihan Özgür
doaj   +1 more source

On quasi-Einstein warped products

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2012
We study quasi-Einstein warped product manifolds for arbitrary dimen- sion n 3. Mathematics Subject Classication 2010: 53C25.
Sular, Sibel, Özgür, Cihan
openaire   +3 more sources

Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds

open access: yesBulletin of Mathematical Sciences, 2017
In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Siraj Uddin
doaj   +1 more source

An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms

open access: yesMathematics, 2023
In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi   +3 more
doaj   +1 more source

Sobolev spaces on warped products [PDF]

open access: yes, 2018
We study the structure of Sobolev spaces on the cartesian/warped products of a given metric measure space and an interval. Our main results are: – the characterization of the Sobolev spaces in such products,– the proof that, under natural assumptions ...
Bang-Xian Han   +3 more
core   +1 more source

Geometric Classification of Warped Products Isometrically Immersed into Conformal Sasakian Space Froms [PDF]

open access: yes, 2022
Warped products play important roles in differential geometry, general relativity, and symmetry science. In this paper, we study the warped product pointwise semi-slant submanifolds that are isometrically immersed into conformal Sasakian space form.
Mehraj Ahmad Lone   +4 more
core   +1 more source

Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

open access: yesMathematics, 2022
In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented.
Ali H. Alkhaldi   +3 more
doaj   +1 more source

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